# ELE 3781 Mathematics - Elective

## ELE 3781 Mathematics - Elective

Course code:
ELE 3781
Department:
Economics
Credits:
7.5
Course coordinator:
Eivind Eriksen
Course name in Norwegian:
Mathematics - Elective
Product category:
Bachelor
Portfolio:
Bachelor - Electives
Semester:
2021 Autumn
Active status:
Active
Level of study:
Bachelor
Teaching language:
English
Course type:
One semester
Introduction

This course belongs to the portfolio of electives, and applies to students in the programme Bachelor of Business Analytics only.

The language of mathematics is extensively used to analyse problems in business, economics and finance, and mathematical models, theories, and methods are extensively used to solve problems. The mathematical requirements of students in Business Analytics go beyond the material usually taught in other undergraduate courses, and this elective course will teach the student more advanced mathematical models, theories, and methods. In particular, it will introduce the students to modelling mathematical problems in Python, and teach hands-on skills. Topics include linear algebra and matrix methods, complex numbers, optimisation in several real variables, differential and difference equations.

Learning outcomes - Knowledge

After completing the course, the student will have advanced knowledge of mathematical concepts, models, theories, and methods. The student will have an advanced understanding of linear algebra and matrix methods, complex numbers, optimisation in several real variables, differential and difference equations and optimal control theory, and specialized understanding of how these mathematical models and methods can be used in business, economics and finance.

Learning outcomes - Skills

After completing the course, the student will be able to analyse quantitative problems using the mathematical language, and be able to use mathematical models and methods to solve these problems. The student will be able to assess solution strategies, be able to carry out necessary computations correctly and precisely, and to use Python to model, solve and visualize mathematical problems. The student will be able to give mathematical arguments for his conclusions, and be able to formulate written answers that explain the methods used and interpret the solutions obtained.

General Competence

After completing the course, the student will be able to reflect upon central assumptions for the models and theories used, and critically assess if they are met in applications. The student will be capable of critical thinking. The student will be able to reflect upon the results obtained, and critically assess if they are reasonable.

Course content
• Linear algebra and matrix methods
• Complex numbers
• Optimization in several real variables
• Differential and difference equations
Teaching and learning activities

The course is taught over one semester, and consists of lectures (45 hours) and plenary problem solving sessions (12 hours).

For each lecture, there will be a work program consisting of exercises and reading assignments. The student must learn the material presented in the reading assignments, and work through the exercises. Some of the exercises will be reviewed in lectures and plenary problem solving sessions. It is assumed that the student has worked with the exercises in order to take full advantage of the review. By allocating some time in class to short assignment related to new topics, students will be activated and learning objectives achieved.

Wolfram Alpha and Python is used in lectures and problem solving sessions to illustrate taught material. Python will be used to implement mathematical models and visualize their solutions.

Software tools
Software defined under the section "Teaching and learning activities".

For electives re-sit is normally offered at the next scheduled course. If an elective is discontinued or is not initiated in the semester it is offered, re-sit will be offered in the electives ordinary semester.

Please note that while attendance is not compulsory in all courses, it is the students own responsibility to obtain
any information provided in class.

All parts of the assessment must be passed in order to receive a final grade in the course.

Qualifications

Higher Education Entrance Qualification

### Covid-19

Due to the Covid-19 pandemic, there may be deviations in teaching and learning activities as well as exams, compared with what is described in this course description.

### Teaching

Information about what is taught on campus and other digital forms will be presented with the lecture plan before the start of the course each semester.

Required prerequisite knowledge

EBA 2910 Mathematics for Business Analytics or equivalent.

Assessments
Assessments
Exam category:
Submission
Form of assessment:
Written submission
Weight:
20
Grouping:
Individual
Duration:
1 Week(s)
Comment:
Mid-term examination in form of an assignment.
Exam code:
ELE 37811
ECTS
Resit:
Examination when next scheduled course
Exam category:
Submission
Form of assessment:
Written submission
Invigilation
Weight:
80
Grouping:
Individual
Support materials:
• BI-approved exam calculator
• Simple calculator
• Monolingual dictionary, English-English
• Bilingual dictionary, Native tongue - English
Duration:
3 Hour(s)
Exam code:
ELE 37812
ECTS
Resit:
Examination when next scheduled course
Type of Assessment:
Ordinary examination
All exams must be passed to get a grade in this course.
Total weight:
100
Course codeCredit reduction
GRA 6035100
Credit reductions:
 Course code: GRA 6035 Credit reduction: 100
Reduction description

This course overlaps 100% with GRA 6035 Mathematics, which is a Core course in the Master's programs.

ActivityDurationComment
Teaching
45 Hour(s)
Seminar groups
12 Hour(s)
Plenary sessions for GRA 6035 Mathematics (in the afternoon)
Student's own work with learning resources
83 Hour(s)
Group work / Assignments
40 Hour(s)
Examination
20 Hour(s)
Mid-term assignment and final exam.